An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction
In this paper, the lateral pedestrian-footbridge interaction is investigated by using the model of an inverted pendulum on a cart. The inverted pendulum and the cart separately represent the synchronous pedestrians and the footbridge. The pivot point of the inverted pendulum is considered to vibrate...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/5730162 |
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| author | Bin Zhen Liang Chang Zigen Song |
| author_facet | Bin Zhen Liang Chang Zigen Song |
| author_sort | Bin Zhen |
| collection | DOAJ |
| description | In this paper, the lateral pedestrian-footbridge interaction is investigated by using the model of an inverted pendulum on a cart. The inverted pendulum and the cart separately represent the synchronous pedestrians and the footbridge. The pivot point of the inverted pendulum is considered to vibrate harmonically to model the walking motion of the pedestrians. The proposed inverted pendulum model avoids the difficulty of the determination of the lateral force induced by the pedestrians applying to the footbridge, which was usually treated based on a semiempirical approach in previous works. Moreover, the model can describe the whole process: how the lateral amplitude of the bridge increases from small to large. Measurement data showed that a normal pedestrian always keeps the ratio of 1/2 between the lateral and vertical step frequencies. The theoretical analysis for the inverted pendulum model indicates that such walking habit of pedestrians is the root of the frequency-locking phenomenon, which eventually results in excessive lateral vibrations of the bridge. Furthermore, such walking habit also is a key factor in the occurrence of the “jump phenomenon” in the London Millennium Bridge. |
| format | Article |
| id | doaj-art-ce01b66e11894cee834de37bcd721ad9 |
| institution | DOAJ |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-ce01b66e11894cee834de37bcd721ad92025-08-20T03:19:41ZengWileyAdvances in Civil Engineering1687-80861687-80942018-01-01201810.1155/2018/57301625730162An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge InteractionBin Zhen0Liang Chang1Zigen Song2School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Civil Engineering and Architecture, Nanchang Hangkong University, Nanchang, Jiangxi 330063, ChinaCollege of Information Technology, Shanghai Ocean University, Shanghai 201306, ChinaIn this paper, the lateral pedestrian-footbridge interaction is investigated by using the model of an inverted pendulum on a cart. The inverted pendulum and the cart separately represent the synchronous pedestrians and the footbridge. The pivot point of the inverted pendulum is considered to vibrate harmonically to model the walking motion of the pedestrians. The proposed inverted pendulum model avoids the difficulty of the determination of the lateral force induced by the pedestrians applying to the footbridge, which was usually treated based on a semiempirical approach in previous works. Moreover, the model can describe the whole process: how the lateral amplitude of the bridge increases from small to large. Measurement data showed that a normal pedestrian always keeps the ratio of 1/2 between the lateral and vertical step frequencies. The theoretical analysis for the inverted pendulum model indicates that such walking habit of pedestrians is the root of the frequency-locking phenomenon, which eventually results in excessive lateral vibrations of the bridge. Furthermore, such walking habit also is a key factor in the occurrence of the “jump phenomenon” in the London Millennium Bridge.http://dx.doi.org/10.1155/2018/5730162 |
| spellingShingle | Bin Zhen Liang Chang Zigen Song An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction Advances in Civil Engineering |
| title | An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction |
| title_full | An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction |
| title_fullStr | An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction |
| title_full_unstemmed | An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction |
| title_short | An Inverted Pendulum Model Describing the Lateral Pedestrian-Footbridge Interaction |
| title_sort | inverted pendulum model describing the lateral pedestrian footbridge interaction |
| url | http://dx.doi.org/10.1155/2018/5730162 |
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